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Finding the Fourth Proportional to 9,443.73, 13,032.05 and 5,194.77

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Solution

The fourth proportional to 9,443.73, 13,032.05 and 5,194.77 is: 7,168.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.73 : 13,032.05 = 5,194.77 : x
  2. Step 2: Convert to fraction form
    9,443.73/13,032.05 = 5,194.77/x
  3. Step 3: Cross multiply
    9,443.73x = 13,032.05 × 5,194.77
  4. Step 4: Simplify right side
    9,443.73x = 67,698,502.38
  5. Step 5: Solve for x
    x = 67,698,502.38/9,443.73
  6. Step 6: Final answer
    x = 7,168.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.